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MODEL PAPER 3 (BASIC) — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsMODEL PAPER 3 (BASIC)1 Mark
MCQ
Two numbers whose sum is 12 and the absolute value of whose difference is 4 are the roots of the equation ________.
  • A
    $2 x^2-24 x+43=0$
  • B
    $2 x^2-6 x+7=0$
  • ✓
    $x^2-12 x+32=0$
  • D
    $x^2-12 x+30=0$
✓

Answer

Correct option: C.
$x^2-12 x+32=0$
(C) $x^2-12 x+32=0$
Explanation: Let the two roots be a and b, then
a + b = 12 ...(i)
and a - b = 4 ...(ii)
$\Rightarrow a =8$ and $b =4$ (from (i) and (ii))
$\therefore$ Required equation is $x^2-12 x+32=0$

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